Atkin-Lehner |
3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5871a |
Isogeny class |
Conductor |
5871 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16327251 = 34 · 19 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 -2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-82,-244] |
[a1,a2,a3,a4,a6] |
j |
61023377953/16327251 |
j-invariant |
L |
1.6181162619086 |
L(r)(E,1)/r! |
Ω |
1.6181162619086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93936j2 17613c2 111549c2 |
Quadratic twists by: -4 -3 -19 |